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AustraliaNSW
Stage 5.1-3

7.01 Composite shapes

Worksheet
Area of composite shapes
1

Consider the following shape:

a

Find the area of rectangle B.

b

Find the total area of the given shape.

2

Find the total area of the following figures:

a
b
c
d
e
3

Find the shaded area in the following figure:

4

Consider the shaded area in the following figure:

Find the following:

a

The value of x.

b

The value of y.

c

The area of the shaded region in the figure.

5

Find the shaded area of the following composite shapes:

a
b
c
d
e
f
Volume of composite solids
6

Find the volume of the following solids:

a
b
c
d
e
f
g
h
i
j
k
7

Find the volume of the following solids:

a
b
c
Applications
8

Consider the following prism:

a

Find the volume of the prism.

b

Find the capacity of this prism in litres.

9

The lounge room floor shown is to be tiled with slate tiles. The cost of tiling the room is \$25/\text{m}^2.

a

Find the area to be tiled.

b

How much will it cost to tile the room?

10

Tricia is drawing a yin-yang symbol. She chooses to make the radius of the overall circle be 10\text{ cm} and the radius of the small circles be 1\text{ cm} .

Find the area of the shaded part of the symbol.

11

Lachlan designs a plot of land which contains his house and garden as shown in the diagram:

a

Find the total area of the plot of land.

b

Find the area of the garden.

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Outcomes

MA5.1-8MG

calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms

MA5.2-11MG

calculates the surface areas of right prisms, cylinders and related composite solids

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